According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)

A. 3x2+6x+4

B. 3x2−5x+4

C. 3x(x)+3x(−4)+−1(x)+−1(−4)

D. 3x(−1)+3x(3x)+x(−4)+x(x)

1 answer

According to the Distributive Property, the algebraic expression (3x-1)(x-4) can be rewritten as:

(3x * x) + (3x * -4) + (-1 * x) + (-1 * -4)

Simplifying this expression gives: 3x^2 - 12x - x + 4

Therefore, the correct answer is:

B. 3x^2 - 13x + 4